Surprising Number Patterns Part II – Pola Bilangan Menakjubkan Bag. II

Here are some more charmers of mathematics that depend on the surprising
nature of its number system. Again, not many words are needed to
demonstrate the charm, for it is obvious at first sight. Just look, enjoy, and
share these amazing properties with your students. Let them appreciate
the patterns and, if possible, try to look for an “explanation” for this.
12345679 . 9 = 111111111
12345679 . 18 = 222222222
12345679 . 27 = 333333333
12345679 . 36 = 444444444
12345679 . 45 = 555555555
12345679 . 54 = 666666666
12345679 . 63 = 777777777
12345679 . 72 = 888888888
12345679 . 81 = 999999999


In the following pattern chart, notice that the first and last digits of the
products are the digits of the multiples of 9.

987654321 . 9 = 08 888 888 889
987654321 . 18 = 17 777 777 778
987654321 . 27 = 26 666 666 667
987654321 . 36 = 35 555 555 556
987654321 . 45 = 44 444 444 445
987654321 . 54 = 53 333 333 334
987654321 . 63 = 62 222 222 223
987654321 . 72 = 71 111 111 112
987654321 . 81 = 80 000 000 001
It is normal for students to want to find extensions of this surprising
pattern. They might experiment by adding digits to the first multiplicand
or by multiplying by other multiples of 9. In any case, experimentation
ought to be encouraged.

Source: Math' Wonders to Inspire Teachers and Students (by Alfred S. Posamentier)

Posted on April 25, 2013, in Mathematics and tagged , , , . Bookmark the permalink. Leave a comment.

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